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Robust optimization Model to Minimize production Stoppage of a Five level Supply chain Network of a Car Manufacturer

Author Affiliations

  • 1Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, IRAN
  • 2 Department of Industrial Engineering Sharif University of Technology, Tehran, IRAN

Res. J. Recent Sci., Volume 4, Issue (4), Pages 113-119, April,2 (2015)


The purpose of this study is to minimize the cost of production stoppages as well as the penalty cost caused because of delays in the delivery of the products. We consider a five-level supply chain network and customize it for a car manufacturer. To improve this system, we develop an approach which consists of two stages. In the first stage, a long-term model is developed to minimize the total cost of the supply chain. Key decisions in this model include determination of the optimal number as well as the location of cross-docks and distribution centers in the system, determination of the transportation type and amount of shipments moved between facilities in the entire chain. In the second stage, we also develop a model to minimize the tardy deliveries of products which are caused by frequent production interruptions. To achieve this goal, by analyzing the historical data first the sources of production interruptions and their effect on stoppage are identified. Then, the corrective methods to reduce the effect of each source are introduced. Due to the uncertainty in the nature of the data, robust optimization is applied to develop the model. Furthermore, to solve the model with real data which makes the scale of the problem very large, a methahurestic algorithm is developed. This approach is implemented in a real case of a car manufacturer.


  1. OICA, International Organization Of Motor Vehicle Manufacturers ,www.oica.net, (2014)
  2. The Economic Intelligence Unit, country forecast, June,IRAN,www.eiu.com, (2010)
  3. Iran Khodro Company ,www.ikco.com (2014)
  4. Zuo-Jun Max Shen, Integrated Supply Chain Design Models : A survey and future Research directions, Journal of industrial and management optimization, 3(1), (2007)
  5. Benita M. Beamon, Supply chain design and analysis: Models and methods, Int. J. Production Economics, 55, 281-294 (1998)
  6. Arntzen B.C., Brown G.G., Harrison T.P. and Trafton L.L., Global supply chain management at digital equipment corporation, Interfaces, 25, 69-93 (1995)
  7. Behnam Fahimnia, Reza Zanjirani Farahani, Romeo Marian and Lee Luong, A review and critique on integrated production–distribution planning models and techniques, Journal of Manufacturing Systems, , 21– 19 (2013)
  8. Cohen M.A. and Lee H.L., Resource deployment analysis of global manufacturing and distribution networks, Journal of Manufacturing and Operations Management, , 81-104 (1989)
  9. Williams J.F., A hybrid algorithm for simultaneous scheduling of production and distribution in multi-echelon structures, Management Science, 29(1) 77-92 (1983)
  10. Ishii K., Takahashi K., Muramatsu R., Integrated production, inventory and distribution systems, International Journal of Production Research, 26(3) 473-482 (1988)
  11. Soyster A.L., Convex programming with set-inclusive constraints and applications to inexact linear programming, Oper. Res.,21, 1154-1157 (1973)
  12. Ben-Tal A., Nemirovski A, Robust convex optimization, Math. Oper. Res, 23, 769– 805 (1998)
  13. Ben-Tal A., Nemirovski A., Robust solutions of uncertain linear programs, Oper. Res. Lett, 1-13 (1999)
  14. Ben-Tal A., Nemirovski. A. Robust solutions of linear programming problems contaminated with uncertain data, Math .Programming Ser. A.,88, 411–424 (2000)
  15. El Ghaoui L, Oustry F, Lebret H, Robust solutions to uncertain semi definite programs, SIAM J. Optim.,, 33–52 (1998)
  16. El-Ghaoui L. and Lebret H, Robust solutions to least-square problems to uncertain data matrices, SIAM J. Matrix Anal. Appl.,18, 1035–1064 (1997)
  17. Bertsimas D. and Sim M, The Price of Robustness, Operations Research, 52(1) 35–53 (2004)
  18. Bertsimas D. and Sim M., Robust discrete optimization and network flows, Math. Programming Ser.B, (98) 48-71 (2003)
  19. Van Landeghem H. and Vanmaele H, Robust planning: a new paradigm for demand chain planning, J of Operations Management, (20), 769-783 (2002)